Comprehensive treatment of electromagnetic interactions and three-body spectator equations

Journal Article · Tue Mar 01 04:00:00 EST 2005 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PhysRevC.71.034003· OSTI ID:20695977

Adam, J Jr ^[1]; Van Orden, J W ^[2]

---

1. Nuclear Physics Institute, Czech Academy of Sciences, CZ-25068 Rez (Czech Republic)
2. Jefferson Laboratory, 12000 Jefferson Avenue, Newport News, Virginia 23606 (United States)

We present a general derivation of the three-body spectator (Gross) equations and of the corresponding electromagnetic currents. As in a previous paper on two-body systems, the wave equations and currents are derived from those for the Bethe-Salpeter equation with the help of an algebraic method using a concise matrix notation. The three-body interactions and currents introduced by the transition to the spectator approach are isolated and the matrix elements of the e.m. current are presented in detail for a system of three indistinguishable particles, namely, for elastic scattering and for two- and three-body breakup. The general expressions are reduced to the one-boson-exchange approximation to make contact with previous work. The method is general in that it does not rely on introduction of the electromagnetic interaction with the help of the minimal replacement. It would therefore work also for other external fields.

• OSTI ID: 20695977
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 3 Vol. 71; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BETHE-SALPETER EQUATION
BOSON-EXCHANGE MODELS
CHARGED CURRENTS
CURRENT ALGEBRA
ELASTIC SCATTERING
ELECTROMAGNETIC INTERACTIONS
MATRIX ELEMENTS
THREE-BODY PROBLEM
TWO-BODY PROBLEM
WAVE EQUATIONS
WAVE FUNCTIONS